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Finding the Third Proportional to 86.81 and 147.84

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Solution

The third proportional to 86.81 and 147.84 is: 251.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.81 : 147.84 = 147.84 : x
  2. Step 2: Convert to fraction form
    86.81/147.84 = 147.84/x
  3. Step 3: Cross multiply
    86.81x = 147.84 × 147.84
  4. Step 4: Simplify right side
    86.81x = 21,857.77
  5. Step 5: Solve for x
    x = 21,857.77/86.81
  6. Step 6: Final answer
    x = 251.78

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Why These Related Problems?

These problems maintain the same ratio (1.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.